The mean of the age of three students Vijay, Rahul and Anu is $15 y e a r s$ . If their ages in the ratio $4 : 5 : 6$ respectively, then their respectively ages are

12 y e a r s, 15 y e a r s, 18 y e a r s

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12 y e a r s, 18 y e a r s, 15 y e a r s

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18 y e a r s, 15 y e a r s, 12 y e a r s

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15 y e a r s, 12 y e a r s, 18 y e a r s

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Solution

The correct option is D $12 y e a r s, 15 y e a r s, 18 y e a r s$
Given ratios
$4 : 5 : 6$
Let the age of three students Vijay, Rahul and Anu is $x$ .
$4 x + 5 x + 6 x = 15 \times 3$
$15 x = 45$
$∴ x = 3$
$\begin{matrix} \Rightarrow 4 x = 4 \times 3 = 12 \Rightarrow 5 x = 5 \times 3 = 15 \Rightarrow 6 x = 6 \times 3 = 18 \end{matrix}$
Then,
Option $A$ is correct answer.

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The mean of the age of three students Vijay, Rahul and Anu is 15 years. If their ages in the ratio 4:5:6 respectively, then their respectively ages are

The correct option is D 12 years,15 years,18 yearsGiven ratios4:5:6Let the age of three students Vijay, Rahul and Anu is x.4x+5x+6x=15×315x=45∴x=3⇒4x=4×3=12⇒5x=5×3=15⇒6x=6×3=18Then,Option A is correct answer.

The mean of the age of three students Vijay, Rahul and Anu is $15 y e a r s$ . If their ages in the ratio $4 : 5 : 6$ respectively, then their respectively ages are